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Finding the Fourth Proportional to 9,923.52, 13,694.61 and 5,447.69

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Solution

The fourth proportional to 9,923.52, 13,694.61 and 5,447.69 is: 7,517.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,923.52 : 13,694.61 = 5,447.69 : x
  2. Step 2: Convert to fraction form
    9,923.52/13,694.61 = 5,447.69/x
  3. Step 3: Cross multiply
    9,923.52x = 13,694.61 × 5,447.69
  4. Step 4: Simplify right side
    9,923.52x = 74,603,921.48
  5. Step 5: Solve for x
    x = 74,603,921.48/9,923.52
  6. Step 6: Final answer
    x = 7,517.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.